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4820000000 = 2857241
BaseRepresentation
bin1000111110100101…
…10101110100000000
3110102220200100222112
410133102311310000
534332410000000
62114141154452
7230305216064
oct43722656400
913386610875
104820000000
112053845382
12b2625ba28
135ba787a0a
1433a207aa4
151d324d235
hex11f4b5d00

4820000000 has 144 divisors (see below), whose sum is σ = 12076336272. Its totient is φ = 1920000000.

The previous prime is 4819999999. The next prime is 4820000011. The reversal of 4820000000 is 284.

It can be written as a sum of positive squares in 8 ways, for example, as 4207338496 + 612661504 = 64864^2 + 24752^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4820000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999880 + ... + 20000120.

Almost surely, 24820000000 is an apocalyptic number.

4820000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038168136).

4820000000 is an abundant number, since it is smaller than the sum of its proper divisors (7256336272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4820000000 is an frugal number, since it uses more digits than its factorization.

4820000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4820000000 is about 69426.2198308391. The cubic root of 4820000000 is about 1689.2049526457.

Adding to 4820000000 its reverse (284), we get a palindrome (4820000284).

The spelling of 4820000000 in words is "four billion, eight hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 241 250 256 320 400 482 500 625 640 800 964 1000 1205 1250 1280 1600 1928 2000 2410 2500 3125 3200 3856 4000 4820 5000 6025 6250 6400 7712 8000 9640 10000 12050 12500 15424 15625 16000 19280 20000 24100 25000 30125 30848 31250 32000 38560 40000 48200 50000 60250 61696 62500 77120 78125 80000 96400 100000 120500 125000 150625 154240 156250 160000 192800 200000 241000 250000 301250 308480 312500 385600 400000 482000 500000 602500 625000 753125 771200 800000 964000 1000000 1205000 1250000 1506250 1542400 1928000 2000000 2410000 2500000 3012500 3765625 3856000 4000000 4820000 5000000 6025000 7531250 7712000 9640000 10000000 12050000 15062500 18828125 19280000 20000000 24100000 30125000 37656250 38560000 48200000 60250000 75312500 96400000 120500000 150625000 192800000 241000000 301250000 482000000 602500000 964000000 1205000000 2410000000 4820000000